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When positive integer n is divided by 5, the remainder is 2. When n is divided by 11, the remainder is 8. What is the smallest positive integer k such that k+n is a multiple of 55?
In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1260 as rent for parking his cars, what is the total rent paid by all the four agencies?
From 6 positive numbers and 6 negative numbers, how many groups Z of 4 numbers, yielding a positive product, can be formed?
If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
A sum was put at SI at certain rate for 2 years.Had it been put at 3% higher rate, it would have fetched Rs.300 more.Find the Sum
If S is the sum of reciprocals of a list of consecutive integers from 35 to 44, inclusive, S is approximately equal to
The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?
A departmental store has 6 managers and 36 associates. The 6 managers have an average salary of $700. The 36 associates have an average salary of $1500. What is the average salary for the departmental store?
The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 16%?
A car averages 50 mph for the first 4 hours of a trip and averages 80 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
A, B and C invested Rs.600, Rs.800 and Rs.1200 respectively, in a partnership business. Find the share of B in profit of Rs.900 after a year?
A shepherd has 1million sheep at the beginning of Year 2010. The numbers grow by xx during the yr. A famine hitshis village in the next year & many of his sheep die. The sheep population decreases by yy during 2001 and at the beginning of 2011 the shepherdfinds that he is left with 1 million sheep. Which of the followi...
Pipes A and B can fill a cistern in 10 and 90 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A fair price shopkeeper takes 10% profit on his goods. He lost 50% goods during theft. His loss percent is:
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
In the first 10 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
3 balls inside a bag having nos on it written 1 , 2, 3 on it. a ball is taken and then put inside it. Find probability that all 3 nos r the same when it is taken 3 times
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Five female friendsfive male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose?
A train 200m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Anmol can eat 27 pastries in a hour. Aakriti can eat 2 pastries in 10 minutes. Divya can eat 7 pastries in 20 minutes. How long will it take them to eat a 120 pastries ?
A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
A and B invested money together in a business and share of capital of A is 1/4th that of B. If they incurr a loss of Rs.500 then loss for B is
The ratio of three numbers is 1:3:4 and the sum of their squares is 2600. The sum of the numbers is?
The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed five times, what is the probability that the coin turns up tails on at least one of the tosses?
A composer’s guild is planning its spring concert, and seven pieces have been submitted for consideration. The director of the guild knows that they will only have time to present five of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Ramesh purchased a refrigerator for Rs. 15500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
What is the value 201st term of a sequence if the first term of the sequence is 2 and each successive term is 3 more the term immediately preceding it?
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly once in 3 consecutive flips ?
In a manufacturing plant, it takes 48 machines 4 hours of continuous work to fill 8 standard orders. At this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?
In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
The Guests at a football banquet consumed a total of 319 pounds of food. if no individual guest consumed more than 2 pounds of food, What is the minimum number of guests that could have attended the banquet?
Instead of multiplying a number by 5, the number is divided by 10. What is the percentage of error obtained ?
The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 7500 sq. m, the cost of fencing the field @ 25 paise per metre is
Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 3125 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year perio...
A carpenter can produce 10 chair in 5 days ,b can produce 10 chair in 5 days and c can produce 20% faster than a and b. Approximately how many days would it take to produce a 100 chairs with all three carpenter working simultaneously?
A train running at the speed of 58 km/hr crosses a pole in 9 sec. What is the length of the train?
How many different values of positive integer x, for which |x+5|<x, are there?
A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar.
The speed of a car is 10 m/s. What is the its speed in kmph.
Simplify 1939392 * 625
A sum of money deposited at C.I. amounts to Rs.1890 in 2 years and to Rs.2350 in 3 years. Find the rate percent?
A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
A fair coin is tossed repeatedly. If head appears on first 5 tosses what is the probability that tail appears on 6th toss ?
Of the female students at Barkely University, 1/6 are on the honor roll. Of the male students, 2/5 are on the honor roll. If 3/5 of the students are female, what fraction of all the students are on the honor roll?
A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
A man buys milk at 6 per litre and adds one third of water to it and sells mixture at 7.20 per litre. The gain is
In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 13% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportion...
A train crosses a bridge of length 800 m in 45 seconds and a lamp post on the bridge in 15 seconds. What is the length of the train in metres?
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 7967 for a computer table, then what was the cost price of the computer table?
A rectangle has width a and length b.If the width is decreased by 20% and the length is increased by 10%,then what is the area of the new rectangle in percentage compared to 'ab' ?
1370 , 1320 , 1070 , X, -6430
If a & b are the root of the equation 4x^2+3x+7=0, then 1/a+1/b=
A, B and C started a business by investing certain amount in the ratio 3 : 4 : 5 for two years, in the second year they earn 10% more profit than earned in the first year. If total profit for two years is Rs.44100. then what is the share of A in the second year ?
Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 35 miles per hour. How many miles from the station was train A overtaken by train B?
Mary deposited $7,000 to open a new savings account that earned 14 percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Mary account one year after the account was opened?
Together, Andrea and Brian weigh p pounds; Brian weighs 18 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
12.1212+17.0005 - 9.1101 = ?
The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
For how many integers n is 2^y = y^2 ?
A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
A shopkeeper forced to sell at cost price, uses a 900 grams weight for a kilogram. What is his gain percent?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
If A is a negative integer, which of the following must be a negative integer?
If a coin is tossed 4 times what is the probability that it will land either heads 4 times or tails 4 times?
K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 450?
69 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. How many bacteria are there approximately?
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.5, and there are exactly 90 candies, what is the minimum amou...
If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 17 days more?
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 8 charts have been brought to the meeting, how many peo...
What is the average (arithmetic mean) of all the multiples of ten from 10 to 210 inclusive?
When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 320 miles apart, at what time will the trains pass each other?
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 46 percent were employees, what percent were stockholders who were not employees?
A portion of the 90% solution of chemicals was replaced with an equal amount of 20% solution of chemicals. As a result, 40% solution of chemicals resulted. What part of the original solution was replaced?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 70 metres?
There are 8 people and 5 chairs. In how many different ways people can occupy the chairs?
Two Trains starting at same time from two stations 320km apart and going in opposite directions cross each other at a distance of 140km from first stations. What is the ratio of their speeds
Which of the following is closer to (9!+8!)-(9!-8!)?
A certain boxer has agreed to pay his opponent a fee of 3% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in seven pounds over the specified limit, what was the boxer's purse?
A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points L that an individual player might have scored?
What number is that, to which if 1, 5, and 13, be severally added, the first sum shall be to the second, as the second to the third?
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.8.40 less, he would have gained 30%. Find the cost of the article.
Find the least number which when divided by 12,24,36,42 leaves remainder 9,21,33,39 respectively.
Shweta buys a product at 25% discount rate. At what % over the cost price should she sell the product to make an overall 25% profit over the listed price?
When n is divided by 24, the remainder is 3. Find thee difference between previous remainder and the remainder when 9n is divided by 7 ?
Peter age after 5 years will be 5 times his age 5 years back. what is the present age of Peter?
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
What will be the output of the following code statements? Integer a = 15, b = 30, c = 10 print (a × b / c) – c
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 126 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was bom. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 3, and the digit 7 can be used only once?
Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive team...
The probability that a visitor at the mall buys a pack of candy is 50%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?